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Finding the Fourth Proportional to 19.08, 28.57 and 17.02

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Solution

The fourth proportional to 19.08, 28.57 and 17.02 is: 25.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.08 : 28.57 = 17.02 : x
  2. Step 2: Convert to fraction form
    19.08/28.57 = 17.02/x
  3. Step 3: Cross multiply
    19.08x = 28.57 × 17.02
  4. Step 4: Simplify right side
    19.08x = 486.26
  5. Step 5: Solve for x
    x = 486.26/19.08
  6. Step 6: Final answer
    x = 25.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.